Universal Journal of Physics and Application Vol. 7(2), pp. 93 - 97
DOI: 10.13189/ujpa.2013.010207
Reprint (PDF) (84Kb)

Matter from Toric Geometry and its Search at the LHC

T.V. Obikhod^*
Institute for Nuclear Research, NAS of Ukraine 03680 Kiev, Ukraine

ABSTRACT

Toric geometry is applied for construction the enhanced gauge groups in F-theory compactified on elliptic Calabi-Yau fourfolds. The Hodge numbers calculated from the polyhedra for the chain H = SU (1), ... ,SU (5), SO(10), E6, E7 determine the number of tensor multiplets, vector multiplets and hypermultiplets of solitonic states that appear from singularities of elliptic fibration. Due to duality between the compactification of E8timesE8 heterotic string and the type IIA string compactification on a Calabi-Yau manifold there is a natural sequence of E-group embeddings which gives the matter content of Minimal Supersymmetric Standard Model and the possibility of searching for supersymmetry at the LHC.

KEYWORDS
Toric geometry, Calabi-Yau manifold, Singularities of elliptic fibration, Matter content

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] T.V. Obikhod , "Matter from Toric Geometry and its Search at the LHC," Universal Journal of Physics and Application, Vol. 7, No. 2, pp. 93 - 97, 2013. DOI: 10.13189/ujpa.2013.010207.

(b). APA Format:
T.V. Obikhod (2013). Matter from Toric Geometry and its Search at the LHC. Universal Journal of Physics and Application, 7(2), 93 - 97. DOI: 10.13189/ujpa.2013.010207.